Exponents and Logarithms

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Objectives:


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As an IB Learner you need to be reflective and a good communicator. On your own page of your blog you will need to explain each of these important ideas in your own words:


  • Change of base theorem

  • Fundamental properties of logarithms

  • Log of both sides theorem

  • Laws of logarithms



TYPE OF PROBLEMS YOU WILL NEED TO SOLVE:


  • Know the definition of a logarithm.

  • Evaluate logarithms.

  • Use the Grant's tomb properties to simplify logarithmic expressions.

  • Solve exponential equations.

  • Solve logarithmic equations.

  • Solve applied problems of growth and decay.




Exponential Equations

Video:
Solving quadratic-type logarithmic equations (time: 8:15)

John_Napier.jpg
Napier:
http://www-history.mcs.st-and.ac.uk/~history/Mathematicians/Napier.html

Reference Topic Links:

This site defines a logaithm and has practice worksheets.
http://www.math.utah.edu/~alfeld/math/log.html

These sites give an overview of logarithm:
http://hyperphysics.phy-astr.gsu.edu/hbase/logm.html
http://www.mathcentre.ac.uk/students.php/all_subjects/algebra/logarithms/resources/

Review logarithms at this interactive site:
http://academic.pgcc.edu/~ssinex/rad_decay.pdf

Logarithmic Equations

Video:
This video solves some logarithmic equations (9:22)

Reference Topic Links:

This site gives some examples of solving logarithmic equations:
http://www.purplemath.com/modules/solvelog.htm

This site gives practice solving logarithmic equations:
http://www.analyzemath.com/LogEqTest/Tutorials.html

Applications of Growth and Decay


Video:
This video models a populations example (time 9:27)

Reference Topic Links:

Site on growth and decay.
http://www.physics.uoguelph.ca/tutorials/exp/Q.exp.html

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